"normal" depends on the CYA (stabilizer) level. Check out Ben's Best Guess chart link on his signature above.
We usually refer to it as the maintenance level of FC (Free Chlorine) as opposed to "normal". Again, CYA levels determine that.

But for an SWCG, Chem_geek tells us that the chlorine level should be 5% of the CYA level. Since most SWCG manufacturers recommend a CYA level of between 60 and 80ppm (check your manual), that would mean the SWCG should be set to keep between 3 and 4 ppm of FC in the pool. Note that this is NOT the same level as the Best Guess table--you use a different set of standard chemical levels with an SWCG. I don't think an FG pool matters.

Carl